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152198265680 = 24537353145661
BaseRepresentation
bin1000110110111110111…
…0010011101101010000
3112112211221212222110222
42031233232103231100
54443200224000210
6153530253012212
713665420625046
oct2155756235520
9475757788428
10152198265680
1159601a5374a
12255b6a84068
1311476b24596
14751b6da396
153e5baa7655
hex236fb93b50

152198265680 has 80 divisors (see below), whose sum is σ = 364456811664. Its totient is φ = 59065712640.

The previous prime is 152198265679. The next prime is 152198265721. The reversal of 152198265680 is 86562891251.

It can be written as a sum of positive squares in 8 ways, for example, as 54582544 + 152143683136 = 7388^2 + 390056^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972050 + ... + 1117710.

Almost surely, 2152198265680 is an apocalyptic number.

152198265680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152198265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182228405832).

152198265680 is an abundant number, since it is smaller than the sum of its proper divisors (212258545984).

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

152198265680 is a wasteful number, since it uses less digits than its factorization.

152198265680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146064 (or 146058 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 53.

The spelling of 152198265680 in words is "one hundred fifty-two billion, one hundred ninety-eight million, two hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 353 370 592 706 740 1412 1480 1765 2824 2960 3530 5648 7060 13061 14120 26122 28240 52244 65305 104488 130610 145661 208976 261220 291322 522440 582644 728305 1044880 1165288 1456610 2330576 2913220 5389457 5826440 10778914 11652880 21557828 26947285 43115656 51418333 53894570 86231312 102836666 107789140 205673332 215578280 257091665 411346664 431156560 514183330 822693328 1028366660 1902478321 2056733320 3804956642 4113466640 7609913284 9512391605 15219826568 19024783210 30439653136 38049566420 76099132840 152198265680