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10094815890756 = 223419928872
BaseRepresentation
bin1001001011100110000111…
…1010100100110101000100
31022202001111002001120010000
42102321201322210311010
52310343140332001011
633245254442401300
72061216643203552
oct222714172446504
938661432046100
1010094815890756
113242207443113
121170539500230
13582c24926cac
1426c83d884bd2
151278c8eaa356
hex92e61ea4d44

10094815890756 has 135 divisors (see below), whose sum is σ = 26553057209679. Its totient is φ = 3344254836912.

The previous prime is 10094815890617. The next prime is 10094815890763. The reversal of 10094815890756 is 65709851849001.

The square root of 10094815890756 is 3177234.

It is a perfect power (a square), and thus also a powerful number.

10094815890756 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 48 + 1 + 589 + 0 + 7 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10094815890693 and 10094815890702.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11380851745 + ... + 11380852631.

Almost surely, 210094815890756 is an apocalyptic number.

10094815890756 is the 3177234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10094815890756

10094815890756 is an abundant number, since it is smaller than the sum of its proper divisors (16458241318923).

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

10094815890756 is an frugal number, since it uses more digits than its factorization.

10094815890756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 10094815890756 in words is "ten trillion, ninety-four billion, eight hundred fifteen million, eight hundred ninety thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 199 324 398 597 796 887 1194 1774 1791 2388 2661 3548 3582 5322 5373 7164 7983 10644 10746 15966 16119 21492 23949 31932 32238 39601 47898 64476 71847 79202 95796 118803 143694 158404 176513 237606 287388 353026 356409 475212 529539 706052 712818 786769 1059078 1069227 1425636 1573538 1588617 2118156 2138454 2360307 3147076 3177234 3207681 4276908 4720614 4765851 6354468 6415362 7080921 9441228 9531702 12830724 14161842 14297553 19063404 21242763 28323684 28595106 35126087 42485526 57190212 63728289 70252174 84971052 105378261 127456578 140504348 156567031 210756522 254913156 313134062 316134783 421513044 469701093 626268124 632269566 939402186 948404349 1264539132 1409103279 1878804372 1896808698 2818206558 2845213047 3793617396 4227309837 5636413116 5690426094 8454619674 11380852188 12681929511 16909239348 25363859022 31156839169 50727718044 62313678338 93470517507 124627356676 186941035014 280411552521 373882070028 560823105042 841234657563 1121646210084 1682469315126 2523703972689 3364938630252 5047407945378 10094815890756