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690043072000 = 295311239601
BaseRepresentation
bin10100000101010011100…
…01011010111000000000
32102222010021210001021211
422002221301122320000
542301202011301000
61245000145455504
7100565624222632
oct12025161327000
92388107701254
10690043072000
11246711363287
12b189a041594
13500bc680679
1425580b94a52
1512e39da67ba
hexa0a9c5ae00

690043072000 has 160 divisors (see below), whose sum is σ = 1722377109024. Its totient is φ = 275742720000.

The previous prime is 690043071973. The next prime is 690043072007. The reversal of 690043072000 is 270340096.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690043072007) 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, 71867200 + ... + 71876800.

Almost surely, 2690043072000 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 690043072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861188554512).

690043072000 is an abundant number, since it is smaller than the sum of its proper divisors (1032334037024).

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

690043072000 is an equidigital number, since it uses as much as digits as its factorization.

690043072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10757 (or 10731 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 690043072000 in words is "six hundred ninety billion, forty-three million, seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1123 1280 1600 2000 2246 2560 3200 4000 4492 5615 6400 8000 8984 9601 11230 12800 16000 17968 19202 22460 28075 32000 35936 38404 44920 48005 56150 64000 71872 76808 89840 96010 112300 140375 143744 153616 179680 192020 224600 240025 280750 287488 307232 359360 384040 449200 480050 561500 574976 614464 718720 768080 898400 960100 1123000 1200125 1228928 1437440 1536160 1796800 1920200 2246000 2400250 2457856 2874880 3072320 3593600 3840400 4492000 4800500 4915712 6144640 7187200 7680800 8984000 9601000 10781923 12289280 14374400 15361600 17968000 19202000 21563846 24578560 30723200 35936000 38404000 43127692 53909615 61446400 71872000 76808000 86255384 107819230 122892800 153616000 172510768 215638460 269548075 307232000 345021536 431276920 539096150 614464000 690043072 862553840 1078192300 1347740375 1380086144 1725107680 2156384600 2695480750 2760172288 3450215360 4312769200 5390961500 5520344576 6900430720 8625538400 10781923000 13800861440 17251076800 21563846000 27601722880 34502153600 43127692000 69004307200 86255384000 138008614400 172510768000 345021536000 690043072000