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54015156002652 = 223132192938947699
BaseRepresentation
bin11000100100000011000100…
…01011111001111101011100
321002020210120002112200011120
430102001202023321331130
524034441014414041102
6310514115313050540
714243315630344005
oct1422014213717534
9232223502480146
1054015156002652
1116235776433889
1260845ba556a50
13241a7b8488900
14d4a4c177a1ac
1563a0d14976bc
hex3120622f9f5c

54015156002652 has 144 divisors (see below), whose sum is σ = 143667019440000. Its totient is φ = 15744442791168.

The previous prime is 54015156002641. The next prime is 54015156002657. The reversal of 54015156002652 is 25620065151045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54015156002657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1132393099 + ... + 1132440797.

It is an arithmetic number, because the mean of its divisors is an integer number (997687635000).

Almost surely, 254015156002652 is an apocalyptic number.

54015156002652 is a gapful number since it is divisible by the number (52) 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 54015156002652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71833509720000).

54015156002652 is an abundant number, since it is smaller than the sum of its proper divisors (89651863437348).

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

54015156002652 is a wasteful number, since it uses less digits than its factorization.

54015156002652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77140 (or 77125 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 54015156002652 in words is "fifty-four trillion, fifteen billion, one hundred fifty-six million, two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 676 741 988 1014 1482 2028 2964 3211 6422 9633 12844 19266 29389 38532 47699 58778 88167 95398 117556 143097 176334 190796 286194 352668 382057 558391 572388 620087 764114 906281 1116782 1146171 1240174 1528228 1675173 1812562 1860261 2233564 2292342 2480348 2718843 3350346 3625124 3720522 4584684 4966741 5437686 6700692 7259083 7441044 8061131 9933482 10875372 11781653 14518166 14900223 16122262 19866964 21777249 23563306 24183393 29036332 29800446 32244524 35344959 43554498 47126612 48366786 59600892 70689918 87108996 94368079 96733572 141379836 153161489 188736158 283104237 306322978 377472316 459484467 566208474 612645956 918968934 1132416948 1401825911 1837937868 2803651822 4205477733 5607303644 8410955466 16821910932 18223736843 26634692309 36447473686 53269384618 54671210529 72894947372 79904076927 106538769236 109342421058 159808153854 218684842116 236908578959 319616307708 346251000017 473817157918 692502000034 710725736877 947634315836 1038753000051 1385004000068 1421451473754 2077506000102 2842902947508 4155012000204 4501263000221 9002526000442 13503789000663 18005052000884 27007578001326 54015156002652