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830588992990976 = 2853977100962099
BaseRepresentation
bin1011110011011010101001000…
…1111000011010111100000000
311000220212112101000110001110002
42330312222101320122330000
51332331332224201202401
612102303152113055132
7336644034353145002
oct27466522170327400
94026775330401402
10830588992990976
112207188a515106a
12791a58652574a8
132985c28a65554b
1410916a1670a372
1566057d48cca6b
hex2f36a91e1af00

830588992990976 has 144 divisors (see below), whose sum is σ = 1692647361972000. Its totient is φ = 406631741128704.

The previous prime is 830588992990957. The next prime is 830588992990993. The reversal of 830588992990976 is 679099299885038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13375208375 + ... + 13375270473.

It is an arithmetic number, because the mean of its divisors is an integer number (11754495569250).

Almost surely, 2830588992990976 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 830588992990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846323680986000).

830588992990976 is an abundant number, since it is smaller than the sum of its proper divisors (862058368981024).

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

830588992990976 is a wasteful number, since it uses less digits than its factorization.

830588992990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64154 (or 64140 counting only the distinct ones).

The product of its (nonzero) digits is 38093690880, while the sum is 92.

The spelling of 830588992990976 in words is "eight hundred thirty trillion, five hundred eighty-eight billion, nine hundred ninety-two million, nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 977 1009 1696 1954 2018 3392 3908 4036 6784 7816 8072 13568 15632 16144 31264 32288 51781 53477 62099 62528 64576 103562 106954 124198 125056 129152 207124 213908 248396 250112 258304 414248 427816 496792 828496 855632 985793 993584 1656992 1711264 1971586 1987168 3291247 3313984 3422528 3943172 3974336 6582494 6627968 6845056 7886344 7948672 13164988 13255936 13690112 15772688 15897344 26329976 31545376 52247029 52659952 60670723 62657891 63090752 104494058 105319904 121341446 125315782 126181504 208988116 210639808 242682892 250631564 252363008 417976232 421279616 485365784 501263128 835952464 842559232 970731568 1002526256 1671904928 1941463136 2005052512 3215548319 3320868223 3343809856 3882926272 4010105024 6431096638 6641736446 6687619712 7765852544 8020210048 12862193276 13283472892 13375239424 15531705088 16040420096 25724386552 26566945784 51448773104 53133891568 61216759507 102897546208 106267783136 122433519014 205795092416 212535566272 244867038028 411590184832 425071132544 489734076056 823180369664 850142265088 979468152112 1958936304224 3244488253871 3917872608448 6488976507742 7835745216896 12977953015484 15671490433792 25955906030968 51911812061936 103823624123872 207647248247744 415294496495488 830588992990976