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73740370340741 = 131747101311226013
BaseRepresentation
bin10000110001000100000100…
…100101000110101110000101
3100200002111210012022020110212
4100301010010211012232011
534131130234301400431
6420455505232525205
721350365055660066
oct2061040445065605
9320074705266425
1073740370340741
112155012a716a65
12832b4649b0805
13321b8c16b1810
14142d0a54b456d
1587d25257e72b
hex431104946b85

73740370340741 has 64 divisors (see below), whose sum is σ = 87002530707456. Its totient is φ = 61880277504000.

The previous prime is 73740370340737. The next prime is 73740370340753. The reversal of 73740370340741 is 14704307304737.

It is a cyclic number.

It is not a de Polignac number, because 73740370340741 - 22 = 73740370340737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73740370340741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73740370340341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 326153051 + ... + 326379063.

It is an arithmetic number, because the mean of its divisors is an integer number (1359414542304).

Almost surely, 273740370340741 is an apocalyptic number.

It is an amenable number.

73740370340741 is a deficient number, since it is larger than the sum of its proper divisors (13262160366715).

73740370340741 is a wasteful number, since it uses less digits than its factorization.

73740370340741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226502.

The product of its (nonzero) digits is 4148928, while the sum is 50.

The spelling of 73740370340741 in words is "seventy-three trillion, seven hundred forty billion, three hundred seventy million, three hundred forty thousand, seven hundred forty-one".

Divisors: 1 13 17 47 101 221 311 611 799 1313 1717 4043 4747 5287 10387 14617 22321 31411 61711 68731 80699 190021 226013 248489 408343 533987 1049087 1476317 2938169 3230357 3842221 6941831 10622611 19192121 22827313 25097389 49948873 70290043 138093943 180584387 296755069 326266057 388064321 913770559 1072883711 1194930731 2347597031 3303632021 5044836173 7099294343 13947488243 15534099503 18239023087 42947216273 56161744357 92290826459 120688003831 237107300131 333666834121 730102676641 1568944049803 4337668843573 5672336180057 73740370340741