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85147635475448 = 237131013233949363
BaseRepresentation
bin10011010111000011111010…
…100100001110001111111000
3102011111000221010011101000022
4103113003322210032033320
542130024324140203243
6501032141141430012
723635466532532250
oct2327037244161770
9364430833141008
1085147635475448
1125148a00482527
129672222a0b308
13386850665b280
14170524ba64960
159c9d4336eb68
hex4d70fa90e3f8

85147635475448 has 128 divisors (see below), whose sum is σ = 196776593395200. Its totient is φ = 33636457806336.

The previous prime is 85147635475447. The next prime is 85147635475451. The reversal of 85147635475448 is 84457453674158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85147635475447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1724903615 + ... + 1724952977.

It is an arithmetic number, because the mean of its divisors is an integer number (1537317135900).

Almost surely, 285147635475448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85147635475448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98388296697600).

85147635475448 is an abundant number, since it is smaller than the sum of its proper divisors (111628957919752).

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

85147635475448 is a wasteful number, since it uses less digits than its factorization.

85147635475448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52741 (or 52737 counting only the distinct ones).

The product of its digits is 1806336000, while the sum is 71.

The spelling of 85147635475448 in words is "eighty-five trillion, one hundred forty-seven billion, six hundred thirty-five million, four hundred seventy-five thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1013 2026 2339 4052 4678 7091 8104 9356 13169 14182 16373 18712 26338 28364 30407 32746 49363 52676 56728 60814 65492 92183 98726 105352 121628 130984 184366 197452 212849 243256 345541 368732 394904 425698 641719 691082 737464 851396 1283438 1382164 1702792 2369407 2566876 2764328 4492033 4738814 5133752 8984066 9477628 16585849 17968132 18955256 30802291 33171698 35936264 50004719 61604582 66343396 100009438 115460057 123209164 132686792 200018876 215616037 230920114 246418328 350033033 400037752 431232074 461840228 650061347 700066066 808220399 862464148 923680456 1300122694 1400132132 1500980741 1616440798 1724928296 2600245388 2800264264 3001961482 3232881596 4550429429 5200490776 6003922964 6465763192 9100858858 10506865187 12007845928 18201717716 21013730374 36403435432 42027460748 84054921496 116961037741 233922075482 467844150964 818727264187 935688301928 1520493490633 1637454528374 3040986981266 3274909056748 6081973962532 6549818113496 10643454434431 12163947925064 21286908868862 42573817737724 85147635475448