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42215930757 = 33711139716103
BaseRepresentation
bin100111010100010000…
…111111101110000101
311000222002201111001000
4213110100333232011
51142424234241012
631221013523513
73023102330220
oct472420775605
9130862644030
1042215930757
11169a3879680
128222043599
133c9a1a10b0
1420869d45b7
1511712edddc
hex9d443fb85

42215930757 has 128 divisors (see below), whose sum is σ = 84843601920. Its totient is φ = 20033464320.

The previous prime is 42215930741. The next prime is 42215930759. The reversal of 42215930757 is 75703951224.

It is a happy number.

42215930757 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 593 + 0 + 7 + 57 = 666.

It is not a de Polignac number, because 42215930757 - 24 = 42215930741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42215930759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2613568 + ... + 2629670.

It is an arithmetic number, because the mean of its divisors is an integer number (662840640).

Almost surely, 242215930757 is an apocalyptic number.

It is an amenable number.

42215930757 is an abundant number, since it is smaller than the sum of its proper divisors (42627671163).

42215930757 is a wasteful number, since it uses less digits than its factorization.

42215930757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16234 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 42215930757 in words is "forty-two billion, two hundred fifteen million, nine hundred thirty thousand, seven hundred fifty-seven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 97 99 117 143 189 231 273 291 297 351 429 679 693 819 873 1001 1067 1261 1287 2037 2079 2457 2619 3003 3201 3783 3861 6111 7469 8827 9009 9603 11349 13871 16103 18333 22407 26481 27027 28809 34047 41613 48309 67221 79443 97097 112721 124839 144927 177133 201663 209339 238329 291291 338163 374517 434781 531399 628017 873873 1014489 1239931 1465373 1561991 1594197 1884051 2302729 2621619 3043467 3719793 4396119 4685973 4782591 5652153 6908187 10933937 11159379 13188357 14057919 16119103 17181901 20305883 20724561 32801811 33478137 39565071 42173757 48357309 51545703 60917649 62173683 98405433 120273307 142141181 145071927 154637109 182752947 223364713 295216299 360819921 426423543 435215781 463911327 548258841 670094139 1082459763 1279270629 1563552991 2010282417 3247379289 3837811887 4690658973 6030847251 14071976919 42215930757