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11077058697232 = 24111966120532441
BaseRepresentation
bin1010000100110001010000…
…1001100001100000010000
31110012221211021012002102211
42201030110021201200100
52422441304011302412
635320421442521504
72222201561252233
oct241142411414020
943187737162384
1011077058697232
113590832946760
1212aa984666294
13624740086618
142a41bd82741a
1514321682aca7
hexa1314261810

11077058697232 has 160 divisors (see below), whose sum is σ = 24704554343040. Its totient is φ = 4758538752000.

The previous prime is 11077058697217. The next prime is 11077058697269. The reversal of 11077058697232 is 23279685077011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4537917132 + ... + 4537919572.

It is an arithmetic number, because the mean of its divisors is an integer number (154403464644).

Almost surely, 211077058697232 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 11077058697232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12352277171520).

11077058697232 is an abundant number, since it is smaller than the sum of its proper divisors (13627495645808).

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

11077058697232 is a wasteful number, since it uses less digits than its factorization.

11077058697232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 58.

The spelling of 11077058697232 in words is "eleven trillion, seventy-seven billion, fifty-eight million, six hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 661 836 1322 1672 2053 2441 2644 3344 4106 4882 5288 7271 8212 9764 10576 12559 14542 16424 19528 22583 25118 26851 29084 32848 39007 39056 45166 46379 50236 53702 58168 78014 90332 92758 100472 107404 116336 138149 156028 180664 185516 200944 214808 276298 312056 361328 371032 429077 429616 510169 552596 624112 742064 858154 1020338 1105192 1357033 1613501 1716308 2040676 2210384 2714066 3227002 3432616 4081352 5011373 5428132 6454004 6865232 8162704 10022746 10856264 12908008 14927363 17748511 20045492 21712528 25783627 25816016 29854726 30656519 35497022 40090984 51567254 55125103 59709452 61313038 70994044 80181968 95216087 103134508 110250206 119418904 122626076 141988088 190432174 206269016 220500412 238837808 245252152 283619897 283976176 337221709 380864348 412538032 441000824 490504304 567239794 674443418 761728696 882001648 1047376957 1134479588 1348886836 1523457392 2094753914 2268959176 2697773672 3312517553 4189507828 4537918352 5395547344 6625035106 8379015656 13250070212 16758031312 26500140424 36437693083 53000280848 62937833507 72875386166 125875667014 145750772332 251751334028 291501544664 503502668056 583003089328 692316168577 1007005336112 1384632337154 2769264674308 5538529348616 11077058697232