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38087700480 = 212325206639
BaseRepresentation
bin100011011110001101…
…000011000000000000
310122022101201122201100
4203132031003000000
51111000422403410
625255223334400
72515564053354
oct433615030000
9118271648640
1038087700480
1115175572115
12746b5b1400
13378cb3359b
141bb4621464
15ecdb998c0
hex8de343000

38087700480 has 156 divisors (see below), whose sum is σ = 132021882720. Its totient is φ = 10156670976.

The previous prime is 38087700467. The next prime is 38087700481. The reversal of 38087700480 is 8400778083.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38087700481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81001 + ... + 287639.

It is an arithmetic number, because the mean of its divisors is an integer number (846294120).

Almost surely, 238087700480 is an apocalyptic number.

38087700480 is a gapful number since it is divisible by the number (30) 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 38087700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66010941360).

38087700480 is an abundant number, since it is smaller than the sum of its proper divisors (93934182240).

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

38087700480 is a wasteful number, since it uses less digits than its factorization.

38087700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206674 (or 206649 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 38087700480 in words is "thirty-eight billion, eighty-seven million, seven hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 18432 20480 23040 30720 36864 46080 61440 92160 184320 206639 413278 619917 826556 1033195 1239834 1653112 1859751 2066390 2479668 3099585 3306224 3719502 4132780 4959336 6199170 6612448 7439004 8265560 9298755 9918672 12398340 13224896 14878008 16531120 18597510 19837344 24796680 26449792 29756016 33062240 37195020 39674688 49593360 52899584 59512032 66124480 74390040 79349376 99186720 105799168 119024064 132248960 148780080 158698752 198373440 211598336 238048128 264497920 297560160 317397504 396746880 423196672 476096256 528995840 595120320 634795008 793493760 846393344 952192512 1057991680 1190240640 1269590016 1586987520 1904385024 2115983360 2380481280 2539180032 3173975040 3808770048 4231966720 4760962560 6347950080 7617540096 9521925120 12695900160 19043850240 38087700480