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29957039540 = 22523479711427
BaseRepresentation
bin11011111001100101…
…000010010110110100
32212022202110021200222
4123321211002112310
5442323000231130
621432335153512
72110235430461
oct337145022664
985282407628
1029957039540
1111782a7121a
125980675898
132a95502bcc
141642864668
15ba4e8ece5
hex6f99425b4

29957039540 has 96 divisors (see below), whose sum is σ = 67157766144. Its totient is φ = 11198549120.

The previous prime is 29957039537. The next prime is 29957039543. The reversal of 29957039540 is 4593075992.

It is an interprime number because it is at equal distance from previous prime (29957039537) and next prime (29957039543).

It is a super-2 number, since 2×299570395402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29957039543) 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, 20992307 + ... + 20993733.

It is an arithmetic number, because the mean of its divisors is an integer number (699560064).

Almost surely, 229957039540 is an apocalyptic number.

29957039540 is a gapful number since it is divisible by the number (20) 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 29957039540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33578883072).

29957039540 is an abundant number, since it is smaller than the sum of its proper divisors (37200726604).

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

29957039540 is a wasteful number, since it uses less digits than its factorization.

29957039540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 53.

The spelling of 29957039540 in words is "twenty-nine billion, nine hundred fifty-seven million, thirty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 971 1081 1427 1942 2162 2854 3884 4324 4855 5405 5708 7135 9710 10810 14270 19420 21620 22333 28540 32821 44666 45637 65642 67069 89332 91274 111665 131284 134138 164105 182548 223330 228185 268276 328210 335345 446660 456370 656420 670690 912740 1049651 1341380 1385617 1542587 2099302 2771234 3085174 4198604 5248255 5542468 6170348 6928085 7712935 10496510 13856170 15425870 20993020 27712340 30851740 31869191 63738382 65123999 127476764 130247998 159345955 260495996 318691910 325619995 637383820 651239990 1302479980 1497851977 2995703954 5991407908 7489259885 14978519770 29957039540