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31542167216 = 2471965322699
BaseRepresentation
bin11101011000000011…
…110100011010110000
310000102020011010002102
4131120003310122300
51004044243322331
622253522035532
72164433666120
oct353003643260
9100366133072
1031542167216
111241680509a
1261434a8ba8
132c88a2c491
1417531a6c80
15c492024cb
hex7580f46b0

31542167216 has 80 divisors (see below), whose sum is σ = 73635168000. Its totient is φ = 12786418944.

The previous prime is 31542167203. The next prime is 31542167219. The reversal of 31542167216 is 61276124513.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 31542167216.

It is not an unprimeable number, because it can be changed into a prime (31542167219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378235 + ... + 1400933.

It is an arithmetic number, because the mean of its divisors is an integer number (920439600).

Almost surely, 231542167216 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 31542167216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36817584000).

31542167216 is an abundant number, since it is smaller than the sum of its proper divisors (42093000784).

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

31542167216 is a wasteful number, since it uses less digits than its factorization.

31542167216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23386 (or 23380 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The spelling of 31542167216 in words is "thirty-one billion, five hundred forty-two million, one hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 653 1064 1306 2128 2612 4571 5224 9142 10448 12407 18284 22699 24814 36568 45398 49628 73136 86849 90796 99256 158893 173698 181592 198512 317786 347396 363184 431281 635572 694792 862562 1271144 1389584 1725124 2542288 3018967 3450248 6037934 6900496 12075868 14822447 24151736 29644894 48303472 59289788 103757129 118579576 207514258 237159152 281626493 415028516 563252986 830057032 1126505972 1660114064 1971385451 2253011944 3942770902 4506023888 7885541804 15771083608 31542167216