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10037040104 = 23713233311811
BaseRepresentation
bin10010101100100000…
…10001001111101000
3221220111110110121002
421112100101033220
5131023440240404
64335544334132
7503504301410
oct112620211750
927814413532
1010037040104
114290713873
121b41474348
13c3c5889b0
146b3045640
153db277c1e
hex2564113e8

10037040104 has 128 divisors (see below), whose sum is σ = 24255866880. Its totient is φ = 3784492800.

The previous prime is 10037040103. The next prime is 10037040107. The reversal of 10037040104 is 40104073001.

It is not an unprimeable number, because it can be changed into a prime (10037040103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5541359 + ... + 5543169.

It is an arithmetic number, because the mean of its divisors is an integer number (189498960).

Almost surely, 210037040104 is an apocalyptic number.

10037040104 is a gapful number since it is divisible by the number (14) 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 10037040104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12127933440).

10037040104 is an abundant number, since it is smaller than the sum of its proper divisors (14218826776).

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

10037040104 is a wasteful number, since it uses less digits than its factorization.

10037040104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The spelling of 10037040104 in words is "ten billion, thirty-seven million, forty thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 331 364 598 644 662 728 1196 1288 1324 1811 2093 2317 2392 2648 3622 4186 4303 4634 7244 7613 8372 8606 9268 12677 14488 15226 16744 17212 18536 23543 25354 30121 30452 34424 41653 47086 50708 53291 60242 60904 83306 94172 98969 101416 106582 120484 164801 166612 188344 197938 213164 240968 291571 329602 333224 395876 426328 541489 583142 599441 659204 692783 791752 1082978 1166284 1198882 1318408 1385566 2165956 2332568 2397764 2771132 3790423 4196087 4331912 4795528 5542264 7580846 7792733 8392174 13787143 15161692 15585466 16784348 27574286 30323384 31170932 33568696 54549131 55148572 62341864 96510001 109098262 110297144 179232859 193020002 218196524 358465718 386040004 436393048 716931436 772080008 1254630013 1433862872 2509260026 5018520052 10037040104