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45430719312 = 24311298335747
BaseRepresentation
bin101010010011111000…
…011100001101010000
311100021010220122212210
4222103320130031100
51221020231004222
632512013552120
73165546512466
oct522370341520
9140233818783
1045430719312
11182a3502920
12897a7a5640
134390219c44
1422ad94c836
1512ad66dd0c
hexa93e1c350

45430719312 has 160 divisors (see below), whose sum is σ = 134046420480. Its totient is φ = 13131650560.

The previous prime is 45430719289. The next prime is 45430719317. The reversal of 45430719312 is 21391703454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45430719317) 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, 1253023 + ... + 1288769.

It is an arithmetic number, because the mean of its divisors is an integer number (837790128).

Almost surely, 245430719312 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 45430719312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67023210240).

45430719312 is an abundant number, since it is smaller than the sum of its proper divisors (88615701168).

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

45430719312 is a wasteful number, since it uses less digits than its factorization.

45430719312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35881 (or 35875 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 45430719312 in words is "forty-five billion, four hundred thirty million, seven hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 83 87 88 116 132 166 174 176 232 249 264 319 332 348 464 498 528 638 664 696 913 957 996 1276 1328 1392 1826 1914 1992 2407 2552 2739 3652 3828 3984 4814 5104 5478 7221 7304 7656 9628 10956 14442 14608 15312 19256 21912 26477 28884 35747 38512 43824 52954 57768 71494 79431 105908 107241 115536 142988 158862 211816 214482 285976 317724 393217 423632 428964 571952 635448 786434 857928 1036663 1179651 1270896 1572868 1715856 2073326 2359302 2967001 3109989 3145736 4146652 4718604 5934002 6219978 6291472 8293304 8901003 9437208 11403293 11868004 12439956 16586608 17802006 18874416 22806586 23736008 24879912 32637011 34209879 35604012 45613172 47472016 49759824 65274022 68419758 71208024 86043029 91226344 97911033 130548044 136839516 142416048 172086058 182452688 195822066 258129087 261096088 273679032 344172116 391644132 516258174 522192176 547358064 688344232 783288264 946473319 1032516348 1376688464 1566576528 1892946638 2065032696 2839419957 3785893276 4130065392 5678839914 7571786552 11357679828 15143573104 22715359656 45430719312