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60196681400 = 23521035095741
BaseRepresentation
bin111000000100000000…
…000111011010111000
312202101012200020220112
4320010000013122320
51441240322301100
643353131443452
74230505230602
oct700400073270
9182335606815
1060196681400
1123590503779
12b7bb8b6588
1358a4421b0b
142cb0a50172
151874b53b35
hexe040076b8

60196681400 has 96 divisors (see below), whose sum is σ = 141618391200. Its totient is φ = 23793907200.

The previous prime is 60196681399. The next prime is 60196681451. The reversal of 60196681400 is 418669106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10482530 + ... + 10488270.

It is an arithmetic number, because the mean of its divisors is an integer number (1475191575).

Almost surely, 260196681400 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 60196681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70809195600).

60196681400 is an abundant number, since it is smaller than the sum of its proper divisors (81421709800).

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

60196681400 is a wasteful number, since it uses less digits than its factorization.

60196681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 60196681400 in words is "sixty billion, one hundred ninety-six million, six hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 509 515 824 1018 1030 2036 2060 2545 2575 4072 4120 5090 5150 5741 10180 10300 11482 12725 20360 20600 22964 25450 28705 45928 50900 52427 57410 101800 104854 114820 143525 209708 229640 262135 287050 419416 524270 574100 591323 1048540 1148200 1182646 1310675 2097080 2365292 2621350 2922169 2956615 4730584 5242700 5844338 5913230 10485400 11688676 11826460 14610845 14783075 23377352 23652920 29221690 29566150 58443380 59132300 73054225 116886760 118264600 146108450 292216900 300983407 584433800 601966814 1203933628 1504917035 2407867256 3009834070 6019668140 7524585175 12039336280 15049170350 30098340700 60196681400