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380147820990 = 235723139566227
BaseRepresentation
bin1011000100000101001…
…00110110100110111110
31100100020011012012000120
411202002210312212332
522212020320232430
6450345411035410
736315263110050
oct5420244664676
91310204165016
10380147820990
11137246597493
126181289bb66
1329b0377b862
14145837998d0
159d4db2b610
hex58829369be

380147820990 has 128 divisors (see below), whose sum is σ = 1095855022080. Its totient is φ = 82514982528.

The previous prime is 380147820989. The next prime is 380147820991. The reversal of 380147820990 is 99028741083.

It is an interprime number because it is at equal distance from previous prime (380147820989) and next prime (380147820991).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380147820991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388257 + ... + 954483.

It is an arithmetic number, because the mean of its divisors is an integer number (8561367360).

Almost surely, 2380147820990 is an apocalyptic number.

380147820990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380147820990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547927511040).

380147820990 is an abundant number, since it is smaller than the sum of its proper divisors (715707201090).

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

380147820990 is a wasteful number, since it uses less digits than its factorization.

380147820990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566406.

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 380147820990 in words is "three hundred eighty billion, one hundred forty-seven million, eight hundred twenty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 139 161 210 230 278 322 345 417 483 690 695 805 834 966 973 1390 1610 1946 2085 2415 2919 3197 4170 4830 4865 5838 6394 9591 9730 14595 15985 19182 22379 29190 31970 44758 47955 67137 95910 111895 134274 223790 335685 566227 671370 1132454 1698681 2831135 3397362 3963589 5662270 7927178 8493405 11890767 13023221 16986810 19817945 23781534 26046442 39069663 39635890 59453835 65116105 78139326 78705553 91162547 118907670 130232210 157411106 182325094 195348315 236116659 273487641 390696630 393527765 455812735 472233318 546975282 550938871 787055530 911625470 1101877742 1180583295 1367438205 1652816613 1810227719 2361166590 2734876410 2754694355 3305633226 3620455438 5430683157 5509388710 8264083065 9051138595 10861366314 12671594033 16528166130 18102277190 25343188066 27153415785 38014782099 54306831570 63357970165 76029564198 126715940330 190073910495 380147820990