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65220138442296 = 233319148311071529
BaseRepresentation
bin11101101010001001111110…
…01011110001111000111000
322112220222120120211012021000
432311010333023301320320
532022031320420123141
6350413415025445000
716510666554533415
oct1665047713617070
9275828516735230
1065220138442296
1119865783957602
1273941244a0760
132a5130421c866
141216958a0310c
157817d370e5b6
hex3b513f2f1e38

65220138442296 has 128 divisors (see below), whose sum is σ = 190715195520000. Its totient is φ = 20594425271040.

The previous prime is 65220138442253. The next prime is 65220138442307. The reversal of 65220138442296 is 69224483102256.

65220138442296 is a `hidden beast` number, since 6 + 5 + 2 + 201 + 3 + 8 + 4 + 422 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60330660 + ... + 61402188.

It is an arithmetic number, because the mean of its divisors is an integer number (1489962465000).

Almost surely, 265220138442296 is an apocalyptic number.

It is an amenable number.

65220138442296 is an abundant number, since it is smaller than the sum of its proper divisors (125495057077704).

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

65220138442296 is a wasteful number, since it uses less digits than its factorization.

65220138442296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086394 (or 1086384 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 65220138442296 in words is "sixty-five trillion, two hundred twenty billion, one hundred thirty-eight million, four hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 14831 29662 44493 59324 88986 118648 133479 177972 266958 281789 355944 400437 533916 563578 800874 845367 1067832 1071529 1127156 1601748 1690734 2143058 2254312 2536101 3203496 3214587 3381468 4286116 5072202 6429174 6762936 7608303 8572232 9643761 10144404 12858348 15216606 19287522 20288808 20359051 25716696 28931283 30433212 38575044 40718102 57862566 60866424 61077153 77150088 81436204 115725132 122154306 162872408 183231459 231450264 244308612 366462918 488617224 549694377 732925836 1099388754 1465851672 2198777508 4397555016 15891846599 31783693198 47675539797 63567386396 95351079594 127134772792 143026619391 190702159188 286053238782 301945085381 381404318376 429079858173 572106477564 603890170762 858159716346 905835256143 1144212955128 1207780341524 1716319432692 1811670512286 2415560683048 2717505768429 3432638865384 3623341024572 5435011536858 7246682049144 8152517305287 10870023073716 16305034610574 21740046147432 32610069221148 65220138442296