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10150553005440 = 273525912040427
BaseRepresentation
bin1001001110110101110000…
…0110110010110110000000
31022221101100111021100112220
42103231130012302312000
52312301313032133230
633331033310251040
72065232110645311
oct223553406626600
938841314240486
1010150553005440
113263909602361
12117b2b37b6a80
1358826815b123
1427140a112608
1512908c35ad10
hex93b5c1b2d80

10150553005440 has 128 divisors (see below), whose sum is σ = 32367390981120. Its totient is φ = 2705768110080.

The previous prime is 10150553005421. The next prime is 10150553005451. The reversal of 10150553005440 is 4450035505101.

It is a tau number, because it is divible by the number of its divisors (128).

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, 3954507 + ... + 5994933.

It is an arithmetic number, because the mean of its divisors is an integer number (252870242040).

Almost surely, 210150553005440 is an apocalyptic number.

10150553005440 is a gapful number since it is divisible by the number (10) 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 10150553005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183695490560).

10150553005440 is an abundant number, since it is smaller than the sum of its proper divisors (22216837975680).

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

10150553005440 is a wasteful number, since it uses less digits than its factorization.

10150553005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043040 (or 2043028 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 10150553005440 in words is "ten trillion, one hundred fifty billion, five hundred fifty-three million, five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2591 5182 7773 10364 12955 15546 20728 25910 31092 38865 41456 51820 62184 77730 82912 103640 124368 155460 165824 207280 248736 310920 331648 414560 497472 621840 829120 994944 1243680 1658240 2040427 2487360 4080854 4974720 6121281 8161708 10202135 12242562 16323416 20404270 24485124 30606405 32646832 40808540 48970248 61212810 65293664 81617080 97940496 122425620 130587328 163234160 195880992 244851240 261174656 326468320 391761984 489702480 652936640 783523968 979404960 1305873280 1958809920 3917619840 5286746357 10573492714 15860239071 21146985428 26433731785 31720478142 42293970856 52867463570 63440956284 79301195355 84587941712 105734927140 126881912568 158602390710 169175883424 211469854280 253763825136 317204781420 338351766848 422939708560 507527650272 634409562840 676703533696 845879417120 1015055300544 1268819125680 1691758834240 2030110601088 2537638251360 3383517668480 5075276502720 10150553005440