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20122907976 = 2333379409601
BaseRepresentation
bin10010101111011010…
…110011010101001000
31220221101210122022000
4102233122303111020
5312202431023401
613124435431000
71311443616123
oct225732632510
956841718260
1020122907976
118596947666
123a97155460
131b88cac352
14d8c75b3ba
157cb948186
hex4af6b3548

20122907976 has 128 divisors (see below), whose sum is σ = 56274960000. Its totient is φ = 6662476800.

The previous prime is 20122907911. The next prime is 20122908011. The reversal of 20122907976 is 67970922102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33482076 + ... + 33482676.

It is an arithmetic number, because the mean of its divisors is an integer number (439648125).

Almost surely, 220122907976 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 20122907976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28137480000).

20122907976 is an abundant number, since it is smaller than the sum of its proper divisors (36152052024).

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

20122907976 is a wasteful number, since it uses less digits than its factorization.

20122907976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 20122907976 in words is "twenty billion, one hundred twenty-two million, nine hundred seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 379 409 601 758 818 1137 1202 1227 1516 1636 1803 2274 2404 2454 3032 3272 3411 3606 3681 4548 4808 4908 5409 6822 7212 7362 9096 9816 10233 10818 11043 13644 14424 14724 16227 20466 21636 22086 27288 29448 32454 40932 43272 44172 64908 81864 88344 129816 155011 227779 245809 310022 455558 465033 491618 620044 683337 737427 911116 930066 983236 1240088 1366674 1395099 1474854 1822232 1860132 1966472 2050011 2212281 2733348 2790198 2949708 3720264 4100022 4185297 4424562 5466696 5580396 5899416 6150033 6636843 8200044 8370594 8849124 11160792 12300066 13273686 16400088 16741188 17698248 24600132 26547372 33482376 49200264 53094744 93161611 186323222 279484833 372646444 558969666 745292888 838454499 1117939332 1676908998 2235878664 2515363497 3353817996 5030726994 6707635992 10061453988 20122907976