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31537157320950 = 2352796329420503
BaseRepresentation
bin1110010101110110100010…
…00011110011000011110110
311010122220220201101101010220
413022323101003303003312
513113201044233232300
6151023545311155210
76433325105133441
oct712732103630366
9133586821341126
1031537157320950
11a059919154656
123654142215b06
131479c309b6aa8
147b0599850658
1539a5492deda0
hex1caed10f30f6

31537157320950 has 96 divisors (see below), whose sum is σ = 79214879923200. Its totient is φ = 8302122366720.

The previous prime is 31537157320831. The next prime is 31537157320951. The reversal of 31537157320950 is 5902375173513.

It is a junction number, because it is equal to n+sod(n) for n = 31537157320893 and 31537157320902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31537157320951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74788399 + ... + 75208901.

It is an arithmetic number, because the mean of its divisors is an integer number (825154999200).

Almost surely, 231537157320950 is an apocalyptic number.

31537157320950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31537157320950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39607439961600).

31537157320950 is an abundant number, since it is smaller than the sum of its proper divisors (47677722602250).

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

31537157320950 is a wasteful number, since it uses less digits than its factorization.

31537157320950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426926 (or 426921 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 51.

The spelling of 31537157320950 in words is "thirty-one trillion, five hundred thirty-seven billion, one hundred fifty-seven million, three hundred twenty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 158 237 395 474 790 1185 1975 2370 3950 5925 6329 11850 12658 18987 31645 37974 63290 94935 158225 189870 316450 420503 474675 499991 841006 949350 999982 1261509 1499973 2102515 2499955 2523018 2999946 4205030 4999910 6307545 7499865 10512575 12499775 12615090 14999730 21025150 24999550 31537725 33219737 37499325 63075450 66439474 74998650 99659211 166098685 199318422 332197370 498296055 830493425 996592110 1660986850 2491480275 2661363487 4982960550 5322726974 7984090461 13306817435 15968180922 26613634870 39920452305 66534087175 79840904610 133068174350 199602261525 210247715473 399204523050 420495430946 630743146419 1051238577365 1261486292838 2102477154730 3153715732095 5256192886825 6307431464190 10512385773650 15768578660475 31537157320950