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61007250294 = 232172947146273
BaseRepresentation
bin111000110100010100…
…001100001101110110
312211110200220102101200
4320310110030031312
51444420324002134
644005405033330
74256550033324
oct706424141566
9184420812350
1061007250294
1123967003121
12b9a7255846
1359a3335493
142d4a56ad14
1518c0db7499
hexe3450c376

61007250294 has 96 divisors (see below), whose sum is σ = 147865461120. Its totient is φ = 18086240256.

The previous prime is 61007250287. The next prime is 61007250301. The reversal of 61007250294 is 49205270016.

61007250294 is a `hidden beast` number, since 61 + 0 + 0 + 7 + 2 + 502 + 94 = 666.

It is an interprime number because it is at equal distance from previous prime (61007250287) and next prime (61007250301).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343942 + ... + 490214.

It is an arithmetic number, because the mean of its divisors is an integer number (1540265220).

Almost surely, 261007250294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61007250294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73932730560).

61007250294 is an abundant number, since it is smaller than the sum of its proper divisors (86858210826).

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

61007250294 is a wasteful number, since it uses less digits than its factorization.

61007250294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146374 (or 146371 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 61007250294 in words is "sixty-one billion, seven million, two hundred fifty thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 29 34 47 51 58 87 94 102 141 153 174 261 282 306 423 493 522 799 846 986 1363 1479 1598 2397 2726 2958 4089 4437 4794 7191 8178 8874 12267 14382 23171 24534 46342 69513 139026 146273 208539 292546 417078 438819 877638 1316457 2486641 2632914 4241917 4973282 6874831 7459923 8483834 12725751 13749662 14919846 20624493 22379769 25451502 38177253 41248986 44759538 61873479 72112589 76354506 116872127 123746958 144225178 199370099 216337767 233744254 350616381 398740198 432675534 598110297 649013301 701232762 1051849143 1196220594 1298026602 1794330891 2103698286 3389291683 3588661782 6778583366 10167875049 20335750098 30503625147 61007250294