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10234155413152 = 251167816153173
BaseRepresentation
bin1001010011101101001100…
…1100101010111010100000
31100020101010212221200220201
42110323103030222322200
52320134022241210102
633433301152114544
72104251624460306
oct224732314527240
940211125850821
1010234155413152
11329630aa216a0
121193545b35a54
135930cc706c28
1427549b4a6276
1512b331c14987
hex94ed332aea0

10234155413152 has 96 divisors (see below), whose sum is σ = 22311390112704. Its totient is φ = 4581809971200.

The previous prime is 10234155413149. The next prime is 10234155413173. The reversal of 10234155413152 is 25131455143201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192442438 + ... + 192495610.

It is an arithmetic number, because the mean of its divisors is an integer number (232410313674).

Almost surely, 210234155413152 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 10234155413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155695056352).

10234155413152 is an abundant number, since it is smaller than the sum of its proper divisors (12077234699552).

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

10234155413152 is a wasteful number, since it uses less digits than its factorization.

10234155413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61422 (or 61414 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 10234155413152 in words is "ten trillion, two hundred thirty-four billion, one hundred fifty-five million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 1072 1474 2144 2948 5896 8161 11792 16322 23584 32644 53173 65288 89771 106346 130576 179542 212692 261152 359084 425384 546787 584903 718168 850768 1093574 1169806 1436336 1701536 2187148 2339612 2872672 3562591 4374296 4679224 6014657 7125182 8748592 9358448 12029314 14250364 17497184 18716896 24058628 28500728 39188501 48117256 57001456 78377002 96234512 114002912 156754004 192469024 313508008 433944853 627016016 867889706 1254032032 1735779412 3471558824 4773393383 6943117648 9546786766 13886235296 19093573532 29074305151 38187147064 58148610302 76374294128 116297220604 152748588256 232594441208 319817356661 465188882416 639634713322 930377764832 1279269426644 2558538853288 5117077706576 10234155413152