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46002606468 = 22371327194507
BaseRepresentation
bin101010110101111110…
…000001000110000100
311101202000000112120120
4222311332001012010
51223203131401333
633044443301540
73215662463130
oct526576010604
9141660015516
1046002606468
11185672aa135
128aba21a8b0
134451851800
1423258983c0
1512e3986db3
hexab5f81184

46002606468 has 144 divisors (see below), whose sum is σ = 133050193920. Its totient is φ = 12112993152.

The previous prime is 46002606439. The next prime is 46002606487. The reversal of 46002606468 is 86460620064.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 10204671 + ... + 10209177.

It is an arithmetic number, because the mean of its divisors is an integer number (923959680).

Almost surely, 246002606468 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 46002606468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66525096960).

46002606468 is an abundant number, since it is smaller than the sum of its proper divisors (87047587452).

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

46002606468 is a wasteful number, since it uses less digits than its factorization.

46002606468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 46002606468 in words is "forty-six billion, two million, six hundred six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 719 1014 1092 1183 1438 2028 2157 2366 2876 3549 4314 4507 4732 5033 7098 8628 9014 9347 10066 13521 14196 15099 18028 18694 20132 27042 28041 30198 31549 37388 54084 56082 58591 60396 63098 65429 94647 112164 117182 121511 126196 130858 175773 189294 196287 234364 243022 261716 351546 364533 378588 392574 410137 486044 703092 729066 761683 785148 820274 850577 1230411 1458132 1523366 1640548 1701154 2285049 2460822 2551731 3046732 3240533 3402308 4570098 4921644 5103462 5331781 6481066 9140196 9721599 10206924 10663562 12962132 15995343 19443198 21327124 22683731 31990686 38886396 42126929 45367462 63981372 68051193 84253858 90734924 126380787 136102386 168507716 252761574 272204772 294888503 505523148 547650077 589777006 884665509 1095300154 1179554012 1642950231 1769331018 2190600308 3285900462 3538662036 3833550539 6571800924 7667101078 11500651617 15334202156 23001303234 46002606468