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612421156006164 = 223241976871622547
BaseRepresentation
bin1000101100111111100110100…
…1011101001110100100010100
32222022101220001100022010002100
42023033321221131032210110
51120232402011414144124
610010302221201242100
7242665653105255021
oct21317715135164424
92868356040263070
10612421156006164
1116815539886275a
125882b3a6033330
13203950b487228b
14ab334b0a52548
154ac072de9d1c9
hex22cfe6974e914

612421156006164 has 144 divisors (see below), whose sum is σ = 1602406697463936. Its totient is φ = 197079138201600.

The previous prime is 612421156006147. The next prime is 612421156006229. The reversal of 612421156006164 is 461600651124216.

612421156006164 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 21 + 1 + 5 + 6 + 0 + 0 + 616 + 4 = 666.

It is a super-2 number, since 2×6124211560061642 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983423539 + ... + 984046085.

It is an arithmetic number, because the mean of its divisors is an integer number (11127824287944).

Almost surely, 2612421156006164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612421156006164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801203348731968).

612421156006164 is an abundant number, since it is smaller than the sum of its proper divisors (989985541457772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

612421156006164 is a wasteful number, since it uses less digits than its factorization.

612421156006164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629566 (or 629561 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 612421156006164 in words is "six hundred twelve trillion, four hundred twenty-one billion, one hundred fifty-six million, six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 97 123 164 194 246 291 369 388 492 582 738 873 1164 1476 1746 3492 3977 6871 7954 11931 13742 15908 20613 23862 27484 35793 41226 47724 61839 71586 82452 123678 143172 247356 281711 563422 622547 666487 845133 1126844 1245094 1332974 1690266 1867641 1999461 2490188 2535399 2665948 3380532 3735282 3998922 5070798 5602923 5998383 7470564 7997844 10141596 11205846 11996766 22411692 23993532 25524427 27325967 51048854 54651934 60387059 76573281 81977901 102097708 109303868 120774118 153146562 163955802 181161177 229719843 241548236 245933703 306293124 327911604 362322354 459439686 491867406 543483531 724644708 918879372 983734812 1086967062 2173934124 2475869419 4277520437 4951738838 7427608257 8555040874 9903477676 12832561311 14855216514 17110081748 22282824771 25665122622 29710433028 38497683933 44565649542 51330245244 76995367866 89131299084 153990735732 175378337917 350756675834 414919482389 526135013751 701513351668 829838964778 1052270027502 1244758447167 1578405041253 1659677929556 2104540055004 2489516894334 3156810082506 3734275341501 4979033788668 6313620165012 7468550683002 14937101366004 17011698777949 34023397555898 51035096333847 68046795111796 102070192667694 153105289001541 204140385335388 306210578003082 612421156006164